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Causal structure of spacetime and Scott topology
In this paper we establish the spacetime manifold as a partially ordered set via the casual structure. We show that these partially ordered sets are...
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Causal Discovery from Markov Properties Under Latent Confounders
We address the problems of causal structure inference from conditional independence facts when latent confounders are admitted. The conditions that...
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Modular geodesics and wedge domains in non-compactly causal symmetric spaces
We continue our investigation of the interplay between causal structures on symmetric spaces and geometric aspects of Algebraic Quantum Field Theory....
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Sign Relation
In NL, Peirce does three things: He (1) defines his three universal categories (quality, relation, representation), (2) gives his initial...
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Causal Structure Learning: A Combinatorial Perspective
In this review, we discuss approaches for learning causal structure from data, also called causal discovery . In particular, we focus on approaches...
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Forecasting, interventions and selection: the benefits of a causal mortality model
Integrating epidemiological information into mortality models has the potential to improve forecasting accuracy and facilitate the assessment of...
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Algebraic Quantum Field Theory and Causal Symmetric Spaces
In this chapter, we review our recent work on the causal structure of symmetric spaces and related geometric aspects of algebraic quantum field...
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Wedge domains in non-compactly causal symmetric spaces
This article is part of an ongoing project aiming at the connections between causal structures on homogeneous spaces, Algebraic Quantum Field Theory,...
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Indefinite causal order with fixed temporal order for electrons and positrons
We provide an analysis of indefinite causal orders in relativistic quantum mechanics based on the electron–positron picture of Feynman involving...
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Causal Isomorphism Between Globally Hyperbolic Spacetimes
In this paper, we show that every causal isomorphism between the causal future of the Cauchy surfaces of two globally hyperbolic spacetimes with...
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Robust stability for implicit dynamic equations with causal operators on time scales
In this paper, we study the robust stability of implicit dynamic equations with causal operators on time scales. First, we investigate the...
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Some Examples of Causal Convolutions
This chapter introduces the basic ideas of causal convolutions and convolution equations. The main tool is the Laplace transform, which we briefly...
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Realization theory for poset-causal systems: controllability, observability and duality
Poset-causal systems form a class of decentralized systems introduced by Shah and Parrilo (47th IEEE conference on decision and control, IEEE, 2008)...
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Existence of minimizers for causal variational principles on compact subsets of momentum space in the homogeneous setting
We prove the existence of minimizers for the causal action in the class of negative definite measures on compact subsets of momentum space in the...
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Banach manifold structure and infinite-dimensional analysis for causal fermion systems
A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular...
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Spacelike Causal Boundary at Finite Distance and Continuous Extension of the Metric: A Preliminary Report
The causal boundary of a spacetime is examined in terms of a foliation by timelike curves—a preferred class of observers. In the present instance,...
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Confounding Ghost Channels and Causality: A New Approach to Causal Information Flows
Information theory provides a fundamental framework for the quantification of information flows through channels, formally Markov kernels. However,...
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Elements of Non-causal Calculus
We recall the stochastic calculus for anticipating integrands based on the very fruitful enlargement of filtrations technique. In this chapter we...
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On discrete-time dissipative port-Hamiltonian (descriptor) systems
Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH...
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What Is the Relation Between Peirce’s Logic and His Philosophy of Logic?
C. S. Peirce was both a logician and a philosopher of logic. Strangely, these two approaches have not been much compared. This present paper intends...